Weakly interacting particle systems on inhomogeneous random graphs

DOI10.1016/j.spa.2018.06.014zbMath1455.60017arXiv1612.00801OpenAlexW2962786645WikidataQ129520676 ScholiaQ129520676MaRDI QIDQ2000143

Ruoyu Wu, Amarjit Budhiraja, Shankar Bhamidi

Publication date: 28 June 2019

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00801

zbMATH Keywords

dynamical random graphscentral limit theoremsinteracting particle systemspropagation of chaosweakly interacting diffusionsinhomogeneous random graphsmulti-type populations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Related Items (22)

A note on Fokker-Planck equations and graphons ⋮ Stationarity and uniform in time convergence for the graphon particle system ⋮ A Case Study on Stochastic Games on Large Graphs in Mean Field and Sparse Regimes ⋮ Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees ⋮ Stationary solutions and local equations for interacting diffusions on regular trees ⋮ Graphon particle system: uniform-in-time concentration bounds ⋮ The Kuramoto model on dynamic random graphs ⋮ Local weak convergence for sparse networks of interacting processes ⋮ Large population limits of Markov processes on random networks ⋮ Two-community noisy Kuramoto model ⋮ Central limit theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs ⋮ Open Problem—Weakly Interacting Particle Systems on Dense Random Graphs ⋮ Graphon mean field systems ⋮ Large deviations for mean field model in Erdős-Rényi graph ⋮ Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks ⋮ Weakly interacting oscillators on dense random graphs ⋮ Quenched asymptotics for interacting diffusions on inhomogeneous random graphs ⋮ Fast Non-mean-field Networks: Uniform in Time Averaging ⋮ Mean field interaction on random graphs with dynamically changing multi-color edges ⋮ A law of large numbers and large deviations for interacting diffusions on Erdős–Rényi graphs ⋮ Mean field systems on networks, with singular interaction through hitting times ⋮ Long time dynamics for interacting oscillators on graphs

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